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3 years ago

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An amusement park charges 5$ for admission and 2$ for each ride write an expression for the total cost of admission and r rides

How many Rides Can He Ride With 16$??? I NEED THIS DONE PEOPLE ;C

1 answer:

sashaice [31]3 years ago

5 0

He can ride 5 rides in this problem

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Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h

Gre4nikov [31]

Answer:

$\dfrac{1}{2\sqrt{x}}$

Step-by-step explanation:

$f(x) = \sqrt{x} = x^{\frac{1}{2}}$

$f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}$

We use binomial expansion for $(x+h)^{\frac{1}{2}}$

This can be rewritten as

$[x(1+\dfrac{h}{x})]^{\frac{1}{2}}$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}$

From the expansion

$(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots$

Setting $x=\dfrac{h}{x}$ and $n=\frac{1}{2}$ ,

$(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots$

$=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots$

Multiplying by $x^{\frac{1}{2}}$ ,

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots$

The limit of this as $h\to 0$ is

$\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}}$ (since all the other terms involve $h$ and vanish to 0.)

8 0

3 years ago

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an

polet [3.4K]

Answer: each boy had $2.5 left after buying his ticket.

Step-by-step explanation:

Miguel and three of his friends went to the movies. They originally had a total of $40. If each boy had the same amount of money, it means that the amount that each boy( 4 boys in total) has is 40/4 = $10

Let x represent the amount of money that each boy had left after buying his ticket. If each boy spent $7.50 on a ticket, then the equation becomes

x + 7.5 = 10

Subtracting 7.5 from the left hand side and the right hand side of the equation, it becomes

x = 10 - 7.5 = 2.5

4 0

3 years ago

How to use a compass

kvasek [131]

Answer:

Get to Know the Parts of a Compass. Baseplate: Clear, so you can see the map below it, it has at least one straight edge for taking bearings and

Adjust Declination. North on a map is easy to find (it’s at the top)

Orient Your Map

Take a Bearing

I hope this helps :3

6 0

3 years ago

There are 30 nonfiction books and 34 for fiction books and the teachers collectionperiod Which of the following expresses the ra

Umnica [9.8K]

30 nonfiction books and 34 for fiction books

The ratio of fiction books to nonfiction books = 34/30 = 17/15

Answer

D) 17/15

5 0

3 years ago

Read 2 more answers

Yall know the answerr ill brainlist.5star and a like

UNO [17]

Answer:

Answer below:

Step-by-step explanation:

Total = 12

Green = 6

So this means 6/12 or 0.5 as a decimal

THERE'S A 50 PERCENT CHANCE

Give brainiest please

8 0

3 years ago